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Finding the Fourth Proportional to 6,142.93, 9,215.95 and 2,631.18

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Solution

The fourth proportional to 6,142.93, 9,215.95 and 2,631.18 is: 3,947.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.93 : 9,215.95 = 2,631.18 : x
  2. Step 2: Convert to fraction form
    6,142.93/9,215.95 = 2,631.18/x
  3. Step 3: Cross multiply
    6,142.93x = 9,215.95 × 2,631.18
  4. Step 4: Simplify right side
    6,142.93x = 24,248,823.32
  5. Step 5: Solve for x
    x = 24,248,823.32/6,142.93
  6. Step 6: Final answer
    x = 3,947.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.